Tony Gilroy has the script for the project, which will be directed by Brad Anderson, said The Hollywood Reporter.
Set in 1980's Beirut, the story sees Hamm, 44, as a former US diplomat, who is called back into service to save a former colleague from the group possibly responsible for his own family's death.
The 36-year-old British actress will play a CIA field agent working undercover at the American embassy, who is tasked with keeping the diplomat alive and ensuring the mission is a success.